* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 1
* [misc]none:  Fresh alt: (λ (N) (- (atan (+ N 1)) (atan N)))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (N) (- (atan (+ N 1)) (atan N))): 0
* [misc]none:  Best fresh alt per point
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* [misc]none:  All alt indices
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* [misc]none:  Best alt per point
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* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 0
* [misc]none:  (7.311006071291519e-101): 0
* [misc]none:  (-1.2254396192804965e-192): 0
* [misc]none:  (1.782256728493473e+35): 0
* [misc]none:  (6.657191501816709e+167): 0
* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 0
* [misc]none:  (-3.222114505301457e-163): 0
* [misc]none:  (-7.76766480776823e+37): 0
* [misc]none:  (8.382633428275648e-297): 0
* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 0
* [misc]none:  (6.099737398723264e-279): 0
* [misc]none:  (2.6679523035634032e-104): 0
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 0
* [misc]none:  (-2.318802051809187e-21): 0
* [misc]none:  (-2.362056093523898e-236): 0
* [misc]none:  (4.384610242475067e+141): 0
* [misc]none:  (1.4474621781713568e+65): 0
* [misc]none:  (-1.410046620426318e-213): 0
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 0
* [misc]none:  (-7.447731371021966e+71): 0
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 0
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234): 0
* [misc]none:  (4.416557773834991e-25): 0
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 0
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 0
* [misc]none:  Picked alt (λ (N) (- (atan (+ N 1)) (atan N)))
* * * * [misc]pick:  Picked  #<alt-event (λ (N) (- (atan (+ N 1)) (atan N)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]taylor:  Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ N 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ N 1)) into (atan (+ 1 N))
* [misc]taylor:  Taking taylor expansion of (atan N) in N
* [misc]backup-simplify:  Simplify (atan N) into (atan N)
* [misc]backup-simplify:  Simplify (- (atan N)) into (- (atan N))
* [misc]backup-simplify:  Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N))
* [misc]backup-simplify:  Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 N)) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 N)) into (atan (/ 1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (+ 1 (/ 1 (/ 1 N)))) (atan (/ 1 (/ 1 N)))) into (- (atan (+ 1 N)) (atan N))
* [misc]approximate:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]taylor:  Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N
* [misc]backup-simplify:  Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan (/ 1 (- N))) in N
* [misc]backup-simplify:  Simplify (atan (/ 1 (- N))) into (atan (/ -1 N))
* [misc]backup-simplify:  Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ 1 N)) (atan N))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 18 ] simplifiying candidate #<alt-delta (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
* [enter]simplify:  Simplifying (- (+ N 1) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (11 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* * [misc]simplify:  iters left: 1 (25 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (+ 1 (* (+ N 1) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (43 enodes)
* [exit]simplify:  Simplified to (+ (+ N 1) (* N N))
* [exit]simplify:  Simplified to (+ (+ N 1) (* N N))
* * * * [misc]progress:  [ 2 / 18 ] simplifiying candidate #<alt-delta (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
* [enter]simplify:  Simplifying (/ (exp (atan (+ N 1))) (exp (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* * [misc]simplify:  iters left: 1 (24 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 3 / 18 ] simplifiying candidate #<alt-delta (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
* * * * [misc]progress:  [ 4 / 18 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (log (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (log (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (log (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 5 / 18 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (exp (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (exp (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 6 / 18 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
* [exit]simplify:  Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N))))
* [enter]simplify:  Simplifying (cbrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (cbrt (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (cbrt (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 7 / 18 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (282 enodes)
* [exit]simplify:  Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3)
* [exit]simplify:  Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3)
* * * * [misc]progress:  [ 8 / 18 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* [enter]simplify:  Simplifying (sqrt (- (atan (+ N 1)) (atan N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* [exit]simplify:  Simplified to (sqrt (- (atan (+ 1 N)) (atan N)))
* * * * [misc]progress:  [ 9 / 18 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
* [enter]simplify:  Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (+ (pow (atan (+ 1 N)) 3) (* (* (atan N) (atan N)) (- (atan N))))
* [exit]simplify:  Simplified to (+ (pow (atan (+ 1 N)) 3) (* (* (atan N) (atan N)) (- (atan N))))
* [enter]simplify:  Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N)))
* [exit]simplify:  Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N)))
* * * * [misc]progress:  [ 10 / 18 ] simplifiying candidate #<alt-delta (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* [enter]simplify:  Simplifying (- (atan N))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (atan N))
* [exit]simplify:  Simplified to (- (atan N))
* * * * [misc]progress:  [ 11 / 18 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* * * * [misc]progress:  [ 12 / 18 ] simplifiying candidate #<alt-delta (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
* [exit]simplify:  Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N)))
* [enter]simplify:  Simplifying (+ (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (+ (atan (+ 1 N)) (atan N))
* [exit]simplify:  Simplified to (+ (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 13 / 18 ] simplifiying candidate #<alt-delta (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
* [enter]simplify:  Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* [enter]simplify:  Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* [exit]simplify:  Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N)))
* * * * [misc]progress:  [ 14 / 18 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
* [enter]simplify:  Simplifying (- (atan (+ N 1)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* [exit]simplify:  Simplified to (- (atan (+ 1 N)) (atan N))
* * * * [misc]progress:  [ 15 / 18 ] simplifiying candidate #<alt-delta (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
* [enter]simplify:  Simplifying (- (atan N))
* * [misc]simplify:  iters left: 3 (3 enodes)
* [exit]simplify:  Simplified to (- (atan N))
* [exit]simplify:  Simplified to (- (atan N))
* * * * [misc]progress:  [ 16 / 18 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 17 / 18 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* * * * [misc]progress:  [ 18 / 18 ] simplifiying candidate #<alt-event (λ (N) (- (atan (+ 1 N)) (atan N)))>
* [enter]simplify:  Simplifying (- (atan (+ 1 N)) (atan N))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (atan (+ N 1)) (atan N))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 1
* [misc]none:  All alts: 2
* [misc]none:  Non-fresh alt: (λ (N) (- (atan (+ N 1)) (atan N)))
* [misc]none:  Fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 0
* [misc]none:  Best fresh alt per point
* [misc]none:  (9.568527921939742e-273): 0
* [misc]none:  (2.654414227492494e+20): 0
* [misc]none:  (1.7090726067739176e-227): 0
* [misc]none:  (7.696162327562603e-152): 0
* [misc]none:  (-1.7235772956324157e+44): 0
* [misc]none:  (-1.849105607217708e-205): 0
* [misc]none:  (5.106850318067203e-223): 0
* [misc]none:  (-8.776422694060002e-191): 0
* [misc]none:  (-1.0339801069916732e-122): 0
* [misc]none:  (1.3381086996667414e-215): 0
* [misc]none:  (-1.2294460237484715e+92): 0
* [misc]none:  (-9.903617261398821e+48): 0
* [misc]none:  (1.0224180420716733e-52): 0
* [misc]none:  (-5.2868600650398754e+73): 0
* [misc]none:  (9.705038014433044e-175): 0
* [misc]none:  (-2.2377664482363495e-145): 0
* [misc]none:  (-6.863248801263982e-282): 0
* [misc]none:  (6.028770352690154e-151): 0
* [misc]none:  (-425.15997261130053): 0
* [misc]none:  (-1.4215485644178288e+122): 0
* [misc]none:  (6.224141164637054e+75): 0
* [misc]none:  (-1.2086624476009651e-200): 0
* [misc]none:  (2.3623052767393814e+153): 0
* [misc]none:  (4.4633600804799425e+142): 0
* [misc]none:  (-1.6813749551547664e-222): 0
* [misc]none:  (-4.6390246315423324e+36): 0
* [misc]none:  (1.2790861077923577e+68): 0
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 0
* [misc]none:  (-2.3255237224962407e-56): 0
* [misc]none:  (1.6780592368033288e-262): 0
* [misc]none:  (1.5331200777386884e+269): 0
* [misc]none:  (2.973444851318118e-169): 0
* [misc]none:  (1.6828576275377584e-98): 0
* [misc]none:  (4.5525663232975395e+86): 0
* [misc]none:  (4.922686678959719e-213): 0
* [misc]none:  (9.601043864442096e+176): 0
* [misc]none:  (5.752669291865014e-257): 0
* [misc]none:  (3.0310347416413137e-258): 0
* [misc]none:  (-1.1043473204259838e-123): 0
* [misc]none:  (-2.06284826271339e+143): 0
* [misc]none:  (-7.24722487096989e+250): 0
* [misc]none:  (-2.2793842908096357e+72): 0
* [misc]none:  (-8.124520965103743e+145): 0
* [misc]none:  (3.727663855470157e+254): 0
* [misc]none:  (8.775974517752829e+204): 0
* [misc]none:  (-644684.1881687096): 0
* [misc]none:  (-5.072621494700167e+267): 0
* [misc]none:  (-4.473451124127099e-235): 0
* [misc]none:  (1.5758037123807388e+87): 0
* [misc]none:  (-3.1154131766396667e+29): 0
* [misc]none:  (2.4492953260422185e+131): 0
* [misc]none:  (5.835395598392501e+198): 0
* [misc]none:  (-1.2951522948212234e+105): 0
* [misc]none:  (2.2545095115116114e+189): 0
* [misc]none:  (-1.4107789582096962e+111): 0
* [misc]none:  (-4.521345173807944e-274): 0
* [misc]none:  (2.4757193927168845e-307): 0
* [misc]none:  (-3.9546390943242443e-82): 0
* [misc]none:  (1.457018723838865e-35): 0
* [misc]none:  (-1.5246504675906286e-147): 0
* [misc]none:  (-1.1042460154015769e-187): 0
* [misc]none:  (-3.30379604621756e-180): 0
* [misc]none:  (-8.185062082112633e+221): 0
* [misc]none:  (9.424239481611678e-294): 0
* [misc]none:  (1.5096638452158614e-71): 0
* [misc]none:  (-1.830572871972773e-27): 0
* [misc]none:  (-1.714392276509888e-289): 0
* [misc]none:  (-9.870003932393336e-46): 0
* [misc]none:  (-2.2727962542731896e+253): 0
* [misc]none:  (6.967234360883543e-112): 0
* [misc]none:  (2.0770495361468835e+203): 0
* [misc]none:  (-3.5348879909542174e+259): 0
* [misc]none:  (3.1401318723071353e-131): 0
* [misc]none:  (-1.4852188300484065e-239): 0
* [misc]none:  (-3.374264737975756e+72): 0
* [misc]none:  (-1.0890756353988414e+102): 0
* [misc]none:  (0.228970627026966): 0
* [misc]none:  (8.40469635347052e+100): 0
* [misc]none:  (2.1321881547753267e-44): 0
* [misc]none:  (1.7739584018359304e-207): 0
* [misc]none:  (-2.723194185823719e-255): 0
* [misc]none:  (6.866799226360426e-109): 0
* [misc]none:  (6.417434319517234e+231): 0
* [misc]none:  (-1.105123941463264e-44): 0
* [misc]none:  (-1.5442050061781137e-296): 0
* [misc]none:  (-2.5125878605191734e-29): 0
* [misc]none:  (4.508352673437809e+248): 0
* [misc]none:  (-1.4801509312754967e-61): 0
* [misc]none:  (-5.163900824605852e+32): 0
* [misc]none:  (1.430295312965348e-149): 0
* [misc]none:  (3.112001531242655e+80): 0
* [misc]none:  (3.0475240801607222e-148): 0
* [misc]none:  (-5.232709143225968e-98): 0
* [misc]none:  (-2.6904647286120434e+306): 0
* [misc]none:  (-2.4014893155423993e+35): 0
* [misc]none:  (1.4966275592591335e-123): 0
* [misc]none:  (6.384545099874781e-168): 0
* [misc]none:  (-1.9863653303691194e-296): 0
* [misc]none:  (-1.5110806788081036e+47): 0
* [misc]none:  (4.232269734875141e-205): 0
* [misc]none:  (4.1020469956028986e+24): 0
* [misc]none:  (2.1703230086091624e+277): 0
* [misc]none:  (-4.725142043601307e-47): 0
* [misc]none:  (2.68866513359689e-174): 0
* [misc]none:  (8.96636707501737e-13): 0
* [misc]none:  (-2.3580830331388543e-23): 0
* [misc]none:  (1.6082525618587168e-259): 0
* [misc]none:  (2.7230496615379425e-188): 0
* [misc]none:  (7.15832835948139e-179): 0
* [misc]none:  (-3.386296042382532e-190): 0
* [misc]none:  (2.991170371343952e+151): 0
* [misc]none:  (-7.407998779781806e-33): 0
* [misc]none:  (-7.014935371531484e-98): 0
* [misc]none:  (-2.580522918977788e+184): 0
* [misc]none:  (8.990843056511833e-32): 0
* [misc]none:  (3.9088008390110404e+59): 0
* [misc]none:  (6.754325943853309e-283): 0
* [misc]none:  (-1.0323836290065946e-292): 0
* [misc]none:  (-1.1379474227414984e+157): 0
* [misc]none:  (-4.747329706134133e-300): 0
* [misc]none:  (-2.266131068741548e-232): 0
* [misc]none:  (6.354961149716869e-97): 0
* [misc]none:  (2.8293820765322485e-296): 0
* [misc]none:  (5.3887495676776976e+171): 0
* [misc]none:  (-503507.16469484643): 0
* [misc]none:  (-1.9250288775511552e-19): 0
* [misc]none:  (9.871143682146977e-239): 0
* [misc]none:  (-1.9809585244792104e-221): 0
* [misc]none:  (-5.324127388080003e+141): 0
* [misc]none:  (5.123849747663666e+133): 0
* [misc]none:  (4.007761912625816e-148): 0
* [misc]none:  (3.321054281872602e+251): 0
* [misc]none:  (-7.33347091133757e-103): 0
* [misc]none:  (-3.967500572333352e+95): 0
* [misc]none:  (-8.002576117532625e+293): 0
* [misc]none:  (-344.7442723289036): 0
* [misc]none:  (8.452539306620761e+219): 0
* [misc]none:  (-3.8897511496224356e+161): 0
* [misc]none:  (4.4485313287564445e+252): 0
* [misc]none:  (-2.9971297913067123e-296): 0
* [misc]none:  (1.120554825473697e-298): 0
* [misc]none:  (7.175557259725409e-49): 0
* [misc]none:  (4.4800031186106794e-70): 0
* [misc]none:  (-1.3609788364339258e+82): 0
* [misc]none:  (2.5265807746711182e-73): 0
* [misc]none:  (1.4440898226736705e-53): 0
* [misc]none:  (-4.651815532356965e+285): 0
* [misc]none:  (-1.223165056942955e+279): 0
* [misc]none:  (2.3912903471184356e-134): 0
* [misc]none:  (3.53511184703484e+158): 0
* [misc]none:  (-2.8955398952451435e+131): 0
* [misc]none:  (1.5780761566396397e+125): 0
* [misc]none:  (1.534059348183312e-189): 0
* [misc]none:  (2.8419420301747055e+90): 0
* [misc]none:  (-2.318158899615234e+28): 0
* [misc]none:  (8.976998414840432e+184): 0
* [misc]none:  (3.9122094377392414e+59): 0
* [misc]none:  (-6.588522440277298e+124): 0
* [misc]none:  (-8.890171102288788e+241): 0
* [misc]none:  (-4.517606044160453e-29): 0
* [misc]none:  (-2.0229301807644786e+90): 0
* [misc]none:  (4.588817619865515e-83): 0
* [misc]none:  (6.908716276621429e+42): 0
* [misc]none:  (1.074034252081928e-96): 0
* [misc]none:  (-2.0525626505030474e-205): 0
* [misc]none:  (1.43328810513268e+174): 0
* [misc]none:  (-3.517237475307537e+70): 0
* [misc]none:  (1.6570172448601563e-137): 0
* [misc]none:  (2.4048926517811354e+66): 0
* [misc]none:  (-1.2386076426807104e+281): 0
* [misc]none:  (4.0623211606609595e-228): 0
* [misc]none:  (1.5982222044177176e+181): 0
* [misc]none:  (8.398043771606399e+47): 0
* [misc]none:  (-6.552213310391902e+218): 0
* [misc]none:  (-2.461870212435176e+181): 0
* [misc]none:  (-9.04145577094214e-51): 0
* [misc]none:  (6.730955893129463e-197): 0
* [misc]none:  (6.724679859609688e-169): 0
* [misc]none:  (1.4230714989143866e-75): 0
* [misc]none:  (3.493084834288097e-125): 0
* [misc]none:  (-8.87002524437924e-05): 0
* [misc]none:  (-9.534297923953677e-238): 0
* [misc]none:  (8.932193317773552e+156): 0
* [misc]none:  (-4.82948997845691e+115): 0
* [misc]none:  (-2.844669102107347e+110): 0
* [misc]none:  (6.614130481633629e+300): 0
* [misc]none:  (-6.631482835790804e+75): 0
* [misc]none:  (-2.927893218629978e+198): 0
* [misc]none:  (-5.425958198218161e-146): 0
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* [misc]none:  (4.664141571059094e-118): 0
* [misc]none:  All alt indices
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* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 1
* [misc]none:  Best alt per point
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* [misc]none:  (4.384610242475067e+141): 1
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* [misc]none:  (-3.178469867925502e-246): 0
* [misc]none:  (-7.447731371021966e+71): 1
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* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 0
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 1
* [misc]none:  (1.4351275309127672e-234): 0
* [misc]none:  (4.416557773834991e-25): 0
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 0
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 0
* [misc]none:  Picked alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 2 2)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 2 2)
* [misc]approximate:  Taking taylor expansion of (* (+ N 1) N) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ N 1) N) in N
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ N 1) N) in N
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ (pow N 2) N)
* [misc]approximate:  Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) N)
* [misc]approximate:  Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) N)
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (+ 1 (* (+ N 1) N)) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ N 1) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ N 1) N) in N
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ N 1) N)) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ N 1) N) in N
* [misc]taylor:  Taking taylor expansion of (+ N 1) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 1) (* 1 0)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ 1 (+ (pow N 2) N))
* [misc]approximate:  Taking taylor expansion of (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 N) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ 1 (+ (pow N 2) N))
* [misc]approximate:  Taking taylor expansion of (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- N)) 1) in N
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in N
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- N)) in N
* [misc]taylor:  Taking taylor expansion of (- N) in N
* [misc]taylor:  Taking taylor expansion of N in N
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 1 -1)) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ 1 (+ (pow N 2) N))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 39 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))>
* * * * [misc]progress:  [ 2 / 39 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 3 / 39 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 4 / 39 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 5 / 39 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 6 / 39 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 7 / 39 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 8 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (pow (* (+ N 1) N) 1))))>
* * * * [misc]progress:  [ 9 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (exp (log (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (* (+ N 1) N))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* * [misc]simplify:  iters left: 1 (34 enodes)
* [exit]simplify:  Simplified to (log (+ N (* N N)))
* [exit]simplify:  Simplified to (log (+ N (* N N)))
* * * * [misc]progress:  [ 10 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (log (exp (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (* (+ N 1) N))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (pow (exp N) (+ 1 N))
* [exit]simplify:  Simplified to (pow (exp N) (+ 1 N))
* * * * [misc]progress:  [ 11 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))
* [exit]simplify:  Simplified to (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))
* [enter]simplify:  Simplifying (cbrt (* (+ N 1) N))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (* N N) N))
* [exit]simplify:  Simplified to (cbrt (+ (* N N) N))
* * * * [misc]progress:  [ 12 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (cbrt (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (181 enodes)
* * [misc]simplify:  iters left: 2 (478 enodes)
* [exit]simplify:  Simplified to (pow (+ N (* N N)) 3)
* [exit]simplify:  Simplified to (pow (+ N (* N N)) 3)
* * * * [misc]progress:  [ 13 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* (sqrt (* (+ N 1) N)) (sqrt (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (* (+ N 1) N))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* N N) N))
* [exit]simplify:  Simplified to (sqrt (+ (* N N) N))
* [enter]simplify:  Simplifying (sqrt (* (+ N 1) N))
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* * [misc]simplify:  iters left: 1 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (* N N) N))
* [exit]simplify:  Simplified to (sqrt (+ (* N N) N))
* * * * [misc]progress:  [ 14 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 15 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))>
* [enter]simplify:  Simplifying (* (cbrt (+ N 1)) N)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 N)) N)
* [exit]simplify:  Simplified to (* (cbrt (+ 1 N)) N)
* * * * [misc]progress:  [ 16 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))>
* [enter]simplify:  Simplifying (* (sqrt (+ N 1)) N)
* * [misc]simplify:  iters left: 5 (5 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 N)) N)
* [exit]simplify:  Simplified to (* (sqrt (+ 1 N)) N)
* * * * [misc]progress:  [ 17 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* 1 (* (+ N 1) N)))))>
* [enter]simplify:  Simplifying (* (+ N 1) N)
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (+ (* N N) N)
* [exit]simplify:  Simplified to (+ (* N N) N)
* * * * [misc]progress:  [ 18 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))>
* [enter]simplify:  Simplifying (* (+ (pow N 3) (pow 1 3)) N)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (+ N (* (* N N) (* N N)))
* [exit]simplify:  Simplified to (+ N (* (* N N) (* N N)))
* * * * [misc]progress:  [ 19 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (/ (* (- (* N N) (* 1 1)) N) (- N 1)))))>
* [enter]simplify:  Simplifying (* (- (* N N) (* 1 1)) N)
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (128 enodes)
* [exit]simplify:  Simplified to (- (pow N 3) N)
* [exit]simplify:  Simplified to (- (pow N 3) N)
* * * * [misc]progress:  [ 20 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* N (+ N 1)))))>
* * * * [misc]progress:  [ 21 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (pow (+ 1 (* (+ N 1) N)) 1)))>
* * * * [misc]progress:  [ 22 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (exp (log (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (log (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 23 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (log (exp (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (exp (+ (* N N) (+ N 1)))
* [exit]simplify:  Simplified to (exp (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 24 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (+ (+ N 1) (* N N))) (cbrt (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (* (cbrt (+ (+ N 1) (* N N))) (cbrt (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (cbrt (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (cbrt (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 25 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (cbrt (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (84 enodes)
* * [misc]simplify:  iters left: 3 (259 enodes)
* [exit]simplify:  Simplified to (pow (+ (+ N 1) (* N N)) 3)
* [exit]simplify:  Simplified to (pow (+ (+ N 1) (* N N)) 3)
* * * * [misc]progress:  [ 26 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ N 1) N))) (sqrt (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (sqrt (+ (+ N 1) (* N N)))
* [enter]simplify:  Simplifying (sqrt (+ 1 (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (sqrt (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 27 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (/ (+ (pow 1 3) (pow (* (+ N 1) N) 3)) (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (+ (pow 1 3) (pow (* (+ N 1) N) 3))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (178 enodes)
* [exit]simplify:  Simplified to (+ (pow (+ N (* N N)) 3) 1)
* [exit]simplify:  Simplified to (+ (pow (+ N (* N N)) 3) 1)
* [enter]simplify:  Simplifying (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (93 enodes)
* * [misc]simplify:  iters left: 3 (336 enodes)
* [exit]simplify:  Simplified to (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N)))
* [exit]simplify:  Simplified to (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N)))
* * * * [misc]progress:  [ 28 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (* 1 (+ 1 (* (+ N 1) N)))))>
* * * * [misc]progress:  [ 29 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (/ (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))) (- 1 (* (+ N 1) N)))))>
* [enter]simplify:  Simplifying (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (492 enodes)
* [exit]simplify:  Simplified to (- 1 (* (+ (* N N) N) (+ (* N N) N)))
* [exit]simplify:  Simplified to (- 1 (* (+ (* N N) N) (+ (* N N) N)))
* [enter]simplify:  Simplifying (- 1 (* (+ N 1) N))
* * [misc]simplify:  iters left: 6 (5 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (154 enodes)
* [exit]simplify:  Simplified to (- (- 1 N) (* N N))
* [exit]simplify:  Simplified to (- (- 1 N) (* N N))
* * * * [misc]progress:  [ 30 / 39 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ (* (+ N 1) N) 1)))>
* * * * [misc]progress:  [ 31 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 32 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 33 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 34 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 35 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 36 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 37 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 38 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 39 / 39 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 4
* [misc]none:  All alts: 5
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* [misc]none:  Fresh alt: (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))
* [misc]none:  Non-fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [misc]none:  Fresh alt: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))
* [misc]none:  Fresh alt: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 0
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N))))): 1
* [misc]none:  (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))): 2
* [misc]none:  (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 3
* [misc]none:  Best fresh alt per point
* [misc]none:  (9.568527921939742e-273): 1
* [misc]none:  (2.654414227492494e+20): 0
* [misc]none:  (1.7090726067739176e-227): 1
* [misc]none:  (7.696162327562603e-152): 1
* [misc]none:  (-1.7235772956324157e+44): 3
* [misc]none:  (-1.849105607217708e-205): 1
* [misc]none:  (5.106850318067203e-223): 1
* [misc]none:  (-8.776422694060002e-191): 1
* [misc]none:  (-1.0339801069916732e-122): 1
* [misc]none:  (1.3381086996667414e-215): 1
* [misc]none:  (-1.2294460237484715e+92): 0
* [misc]none:  (-9.903617261398821e+48): 2
* [misc]none:  (1.0224180420716733e-52): 1
* [misc]none:  (-5.2868600650398754e+73): 2
* [misc]none:  (9.705038014433044e-175): 1
* [misc]none:  (-2.2377664482363495e-145): 1
* [misc]none:  (-6.863248801263982e-282): 1
* [misc]none:  (6.028770352690154e-151): 1
* [misc]none:  (-425.15997261130053): 0
* [misc]none:  (-1.4215485644178288e+122): 0
* [misc]none:  (6.224141164637054e+75): 1
* [misc]none:  (-1.2086624476009651e-200): 1
* [misc]none:  (2.3623052767393814e+153): 0
* [misc]none:  (4.4633600804799425e+142): 1
* [misc]none:  (-1.6813749551547664e-222): 1
* [misc]none:  (-4.6390246315423324e+36): 2
* [misc]none:  (1.2790861077923577e+68): 1
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 1
* [misc]none:  (-2.3255237224962407e-56): 1
* [misc]none:  (1.6780592368033288e-262): 1
* [misc]none:  (1.5331200777386884e+269): 0
* [misc]none:  (2.973444851318118e-169): 1
* [misc]none:  (1.6828576275377584e-98): 1
* [misc]none:  (4.5525663232975395e+86): 0
* [misc]none:  (4.922686678959719e-213): 1
* [misc]none:  (9.601043864442096e+176): 0
* [misc]none:  (5.752669291865014e-257): 1
* [misc]none:  (3.0310347416413137e-258): 1
* [misc]none:  (-1.1043473204259838e-123): 1
* [misc]none:  (-2.06284826271339e+143): 0
* [misc]none:  (-7.24722487096989e+250): 0
* [misc]none:  (-2.2793842908096357e+72): 0
* [misc]none:  (-8.124520965103743e+145): 0
* [misc]none:  (3.727663855470157e+254): 0
* [misc]none:  (8.775974517752829e+204): 0
* [misc]none:  (-644684.1881687096): 0
* [misc]none:  (-5.072621494700167e+267): 0
* [misc]none:  (-4.473451124127099e-235): 1
* [misc]none:  (1.5758037123807388e+87): 0
* [misc]none:  (-3.1154131766396667e+29): 0
* [misc]none:  (2.4492953260422185e+131): 0
* [misc]none:  (5.835395598392501e+198): 0
* [misc]none:  (-1.2951522948212234e+105): 0
* [misc]none:  (2.2545095115116114e+189): 0
* [misc]none:  (-1.4107789582096962e+111): 0
* [misc]none:  (-4.521345173807944e-274): 1
* [misc]none:  (2.4757193927168845e-307): 1
* [misc]none:  (-3.9546390943242443e-82): 1
* [misc]none:  (1.457018723838865e-35): 1
* [misc]none:  (-1.5246504675906286e-147): 1
* [misc]none:  (-1.1042460154015769e-187): 1
* [misc]none:  (-3.30379604621756e-180): 1
* [misc]none:  (-8.185062082112633e+221): 0
* [misc]none:  (9.424239481611678e-294): 1
* [misc]none:  (1.5096638452158614e-71): 1
* [misc]none:  (-1.830572871972773e-27): 1
* [misc]none:  (-1.714392276509888e-289): 1
* [misc]none:  (-9.870003932393336e-46): 1
* [misc]none:  (-2.2727962542731896e+253): 0
* [misc]none:  (6.967234360883543e-112): 1
* [misc]none:  (2.0770495361468835e+203): 0
* [misc]none:  (-3.5348879909542174e+259): 0
* [misc]none:  (3.1401318723071353e-131): 1
* [misc]none:  (-1.4852188300484065e-239): 1
* [misc]none:  (-3.374264737975756e+72): 0
* [misc]none:  (-1.0890756353988414e+102): 0
* [misc]none:  (0.228970627026966): 2
* [misc]none:  (8.40469635347052e+100): 1
* [misc]none:  (2.1321881547753267e-44): 1
* [misc]none:  (1.7739584018359304e-207): 1
* [misc]none:  (-2.723194185823719e-255): 1
* [misc]none:  (6.866799226360426e-109): 1
* [misc]none:  (6.417434319517234e+231): 0
* [misc]none:  (-1.105123941463264e-44): 1
* [misc]none:  (-1.5442050061781137e-296): 1
* [misc]none:  (-2.5125878605191734e-29): 1
* [misc]none:  (4.508352673437809e+248): 0
* [misc]none:  (-1.4801509312754967e-61): 1
* [misc]none:  (-5.163900824605852e+32): 0
* [misc]none:  (1.430295312965348e-149): 1
* [misc]none:  (3.112001531242655e+80): 1
* [misc]none:  (3.0475240801607222e-148): 1
* [misc]none:  (-5.232709143225968e-98): 1
* [misc]none:  (-2.6904647286120434e+306): 0
* [misc]none:  (-2.4014893155423993e+35): 0
* [misc]none:  (1.4966275592591335e-123): 1
* [misc]none:  (6.384545099874781e-168): 1
* [misc]none:  (-1.9863653303691194e-296): 1
* [misc]none:  (-1.5110806788081036e+47): 0
* [misc]none:  (4.232269734875141e-205): 1
* [misc]none:  (4.1020469956028986e+24): 1
* [misc]none:  (2.1703230086091624e+277): 0
* [misc]none:  (-4.725142043601307e-47): 1
* [misc]none:  (2.68866513359689e-174): 1
* [misc]none:  (8.96636707501737e-13): 1
* [misc]none:  (-2.3580830331388543e-23): 1
* [misc]none:  (1.6082525618587168e-259): 1
* [misc]none:  (2.7230496615379425e-188): 1
* [misc]none:  (7.15832835948139e-179): 1
* [misc]none:  (-3.386296042382532e-190): 1
* [misc]none:  (2.991170371343952e+151): 0
* [misc]none:  (-7.407998779781806e-33): 1
* [misc]none:  (-7.014935371531484e-98): 1
* [misc]none:  (-2.580522918977788e+184): 0
* [misc]none:  (8.990843056511833e-32): 1
* [misc]none:  (3.9088008390110404e+59): 0
* [misc]none:  (6.754325943853309e-283): 1
* [misc]none:  (-1.0323836290065946e-292): 1
* [misc]none:  (-1.1379474227414984e+157): 0
* [misc]none:  (-4.747329706134133e-300): 1
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* [misc]none:  (1.0657402022625375e+129): 0
* [misc]none:  (-6.206729553564092e+301): 0
* [misc]none:  (1.7927880379985524e+252): 0
* [misc]none:  (-8.795577755360774e-193): 1
* [misc]none:  (1.0006462262322276e+238): 0
* [misc]none:  (-9.304691570184222e+30): 2
* [misc]none:  (1.9963004369674967e-80): 1
* [misc]none:  (1.4604179220567222e+231): 0
* [misc]none:  (1.5216315041338872e-218): 1
* [misc]none:  (1.6707151526371295e-190): 1
* [misc]none:  (5.1990169359560766e-256): 1
* [misc]none:  (-6.08679419260233e+77): 0
* [misc]none:  (-2.864119470500123e-178): 1
* [misc]none:  (-4.976800097081315e-07): 0
* [misc]none:  (8.044445972631143e-28): 1
* [misc]none:  (2.635030752287841e+186): 0
* [misc]none:  (4.12100928340286e-184): 1
* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 1
* [misc]none:  (7.311006071291519e-101): 1
* [misc]none:  (-1.2254396192804965e-192): 1
* [misc]none:  (1.782256728493473e+35): 1
* [misc]none:  (6.657191501816709e+167): 0
* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 1
* [misc]none:  (-3.222114505301457e-163): 1
* [misc]none:  (-7.76766480776823e+37): 2
* [misc]none:  (8.382633428275648e-297): 1
* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 0
* [misc]none:  (6.099737398723264e-279): 1
* [misc]none:  (2.6679523035634032e-104): 1
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 0
* [misc]none:  (1.4474621781713568e+65): 1
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 3
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  Picked alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))>
* * * * [misc]progress:  [ 2 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))>
* * * * [misc]progress:  [ 3 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 4 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 5 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 6 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 7 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 8 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 9 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 10 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 11 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 12 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 13 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 14 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 15 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 16 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 17 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 18 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 19 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 20 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 21 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 22 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 23 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 24 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 25 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) (+ 1/2 1/2)))>
* [enter]simplify:  Simplifying (+ 1/2 1/2)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* [exit]simplify:  Simplified to (+ 1/2 1/2)
* * * * [misc]progress:  [ 26 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 27 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 28 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 29 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2))>
* * * * [misc]progress:  [ 30 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 1)))>
* [enter]simplify:  Simplifying (+ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (+ 1 1)
* [exit]simplify:  Simplified to (+ 1 1)
* * * * [misc]progress:  [ 31 / 73 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1))>
* * * * [misc]progress:  [ 32 / 73 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 33 / 73 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 34 / 73 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 35 / 73 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 36 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 37 / 73 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 38 / 73 ] simplifiying candidate #<alt-delta (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 39 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 40 / 73 ] simplifiying candidate #<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>
* * * * [misc]progress:  [ 41 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 42 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (54 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 43 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 44 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 45 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 46 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 47 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 48 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 49 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 50 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 51 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 52 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 53 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 54 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 55 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1))))>
* * * * [misc]progress:  [ 56 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (exp (log (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 57 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (log (exp (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 58 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 59 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (50 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3)
* * * * [misc]progress:  [ 60 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 61 / 73 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* 1 (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* * * * [misc]progress:  [ 62 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 63 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 64 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 65 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 66 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 67 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 68 / 73 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 69 / 73 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 70 / 73 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 71 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 72 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 73 / 73 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (55 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* [misc]none:  Fresh alts: 4
* [misc]none:  All alts: 6
* [misc]none:  Non-fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* [misc]none:  Fresh alt: (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))
* [misc]none:  Non-fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* [misc]none:  Fresh alt: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))
* [misc]none:  Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* [misc]none:  Fresh alt indices
* [misc]none:  (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N))))): 0
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 1
* [misc]none:  (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))): 2
* [misc]none:  (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))): 3
* [misc]none:  Best fresh alt per point
* [misc]none:  (9.568527921939742e-273): 0
* [misc]none:  (2.654414227492494e+20): 0
* [misc]none:  (1.7090726067739176e-227): 0
* [misc]none:  (7.696162327562603e-152): 0
* [misc]none:  (-1.7235772956324157e+44): 2
* [misc]none:  (-1.849105607217708e-205): 0
* [misc]none:  (5.106850318067203e-223): 0
* [misc]none:  (-8.776422694060002e-191): 0
* [misc]none:  (-1.0339801069916732e-122): 0
* [misc]none:  (1.3381086996667414e-215): 0
* [misc]none:  (-1.2294460237484715e+92): 3
* [misc]none:  (-9.903617261398821e+48): 2
* [misc]none:  (1.0224180420716733e-52): 0
* [misc]none:  (-5.2868600650398754e+73): 2
* [misc]none:  (9.705038014433044e-175): 0
* [misc]none:  (-2.2377664482363495e-145): 0
* [misc]none:  (-6.863248801263982e-282): 0
* [misc]none:  (6.028770352690154e-151): 0
* [misc]none:  (-425.15997261130053): 3
* [misc]none:  (-1.4215485644178288e+122): 1
* [misc]none:  (6.224141164637054e+75): 0
* [misc]none:  (-1.2086624476009651e-200): 0
* [misc]none:  (2.3623052767393814e+153): 3
* [misc]none:  (4.4633600804799425e+142): 0
* [misc]none:  (-1.6813749551547664e-222): 0
* [misc]none:  (-4.6390246315423324e+36): 2
* [misc]none:  (1.2790861077923577e+68): 0
* [misc]none:  (1.0592112097552954e+143): 0
* [misc]none:  (-7.191398511280425e-59): 0
* [misc]none:  (-2.3255237224962407e-56): 0
* [misc]none:  (1.6780592368033288e-262): 0
* [misc]none:  (1.5331200777386884e+269): 0
* [misc]none:  (2.973444851318118e-169): 0
* [misc]none:  (1.6828576275377584e-98): 0
* [misc]none:  (4.5525663232975395e+86): 0
* [misc]none:  (4.922686678959719e-213): 0
* [misc]none:  (9.601043864442096e+176): 0
* [misc]none:  (5.752669291865014e-257): 0
* [misc]none:  (3.0310347416413137e-258): 0
* [misc]none:  (-1.1043473204259838e-123): 0
* [misc]none:  (-2.06284826271339e+143): 3
* [misc]none:  (-7.24722487096989e+250): 1
* [misc]none:  (-2.2793842908096357e+72): 3
* [misc]none:  (-8.124520965103743e+145): 1
* [misc]none:  (3.727663855470157e+254): 0
* [misc]none:  (8.775974517752829e+204): 0
* [misc]none:  (-644684.1881687096): 1
* [misc]none:  (-5.072621494700167e+267): 1
* [misc]none:  (-4.473451124127099e-235): 0
* [misc]none:  (1.5758037123807388e+87): 0
* [misc]none:  (-3.1154131766396667e+29): 1
* [misc]none:  (2.4492953260422185e+131): 0
* [misc]none:  (5.835395598392501e+198): 0
* [misc]none:  (-1.2951522948212234e+105): 3
* [misc]none:  (2.2545095115116114e+189): 0
* [misc]none:  (-1.4107789582096962e+111): 3
* [misc]none:  (-4.521345173807944e-274): 0
* [misc]none:  (2.4757193927168845e-307): 0
* [misc]none:  (-3.9546390943242443e-82): 0
* [misc]none:  (1.457018723838865e-35): 0
* [misc]none:  (-1.5246504675906286e-147): 0
* [misc]none:  (-1.1042460154015769e-187): 0
* [misc]none:  (-3.30379604621756e-180): 0
* [misc]none:  (-8.185062082112633e+221): 1
* [misc]none:  (9.424239481611678e-294): 0
* [misc]none:  (1.5096638452158614e-71): 0
* [misc]none:  (-1.830572871972773e-27): 0
* [misc]none:  (-1.714392276509888e-289): 0
* [misc]none:  (-9.870003932393336e-46): 0
* [misc]none:  (-2.2727962542731896e+253): 1
* [misc]none:  (6.967234360883543e-112): 0
* [misc]none:  (2.0770495361468835e+203): 0
* [misc]none:  (-3.5348879909542174e+259): 1
* [misc]none:  (3.1401318723071353e-131): 0
* [misc]none:  (-1.4852188300484065e-239): 0
* [misc]none:  (-3.374264737975756e+72): 2
* [misc]none:  (-1.0890756353988414e+102): 3
* [misc]none:  (0.228970627026966): 2
* [misc]none:  (8.40469635347052e+100): 0
* [misc]none:  (2.1321881547753267e-44): 0
* [misc]none:  (1.7739584018359304e-207): 0
* [misc]none:  (-2.723194185823719e-255): 0
* [misc]none:  (6.866799226360426e-109): 0
* [misc]none:  (6.417434319517234e+231): 0
* [misc]none:  (-1.105123941463264e-44): 0
* [misc]none:  (-1.5442050061781137e-296): 0
* [misc]none:  (-2.5125878605191734e-29): 0
* [misc]none:  (4.508352673437809e+248): 0
* [misc]none:  (-1.4801509312754967e-61): 0
* [misc]none:  (-5.163900824605852e+32): 1
* [misc]none:  (1.430295312965348e-149): 0
* [misc]none:  (3.112001531242655e+80): 0
* [misc]none:  (3.0475240801607222e-148): 0
* [misc]none:  (-5.232709143225968e-98): 0
* [misc]none:  (-2.6904647286120434e+306): 1
* [misc]none:  (-2.4014893155423993e+35): 1
* [misc]none:  (1.4966275592591335e-123): 0
* [misc]none:  (6.384545099874781e-168): 0
* [misc]none:  (-1.9863653303691194e-296): 0
* [misc]none:  (-1.5110806788081036e+47): 2
* [misc]none:  (4.232269734875141e-205): 0
* [misc]none:  (4.1020469956028986e+24): 0
* [misc]none:  (2.1703230086091624e+277): 0
* [misc]none:  (-4.725142043601307e-47): 0
* [misc]none:  (2.68866513359689e-174): 0
* [misc]none:  (8.96636707501737e-13): 0
* [misc]none:  (-2.3580830331388543e-23): 0
* [misc]none:  (1.6082525618587168e-259): 0
* [misc]none:  (2.7230496615379425e-188): 0
* [misc]none:  (7.15832835948139e-179): 0
* [misc]none:  (-3.386296042382532e-190): 0
* [misc]none:  (2.991170371343952e+151): 0
* [misc]none:  (-7.407998779781806e-33): 0
* [misc]none:  (-7.014935371531484e-98): 0
* [misc]none:  (-2.580522918977788e+184): 1
* [misc]none:  (8.990843056511833e-32): 0
* [misc]none:  (3.9088008390110404e+59): 3
* [misc]none:  (6.754325943853309e-283): 0
* [misc]none:  (-1.0323836290065946e-292): 0
* [misc]none:  (-1.1379474227414984e+157): 1
* [misc]none:  (-4.747329706134133e-300): 0
* [misc]none:  (-2.266131068741548e-232): 0
* [misc]none:  (6.354961149716869e-97): 0
* [misc]none:  (2.8293820765322485e-296): 0
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* [misc]none:  (4.84788597345363e+32): 5
* [misc]none:  (1.0657402022625375e+129): 3
* [misc]none:  (-6.206729553564092e+301): 0
* [misc]none:  (1.7927880379985524e+252): 0
* [misc]none:  (-8.795577755360774e-193): 1
* [misc]none:  (1.0006462262322276e+238): 0
* [misc]none:  (-9.304691570184222e+30): 2
* [misc]none:  (1.9963004369674967e-80): 1
* [misc]none:  (1.4604179220567222e+231): 0
* [misc]none:  (1.5216315041338872e-218): 1
* [misc]none:  (1.6707151526371295e-190): 1
* [misc]none:  (5.1990169359560766e-256): 1
* [misc]none:  (-6.08679419260233e+77): 0
* [misc]none:  (-2.864119470500123e-178): 1
* [misc]none:  (-4.976800097081315e-07): 0
* [misc]none:  (8.044445972631143e-28): 1
* [misc]none:  (2.635030752287841e+186): 0
* [misc]none:  (4.12100928340286e-184): 1
* [misc]none:  (9.74865050931635e+298): 0
* [misc]none:  (-7.146083996729688e+199): 0
* [misc]none:  (8.361834195928021e-55): 1
* [misc]none:  (7.311006071291519e-101): 1
* [misc]none:  (-1.2254396192804965e-192): 1
* [misc]none:  (1.782256728493473e+35): 1
* [misc]none:  (6.657191501816709e+167): 0
* [misc]none:  (-1.0237963707243293e+257): 0
* [misc]none:  (-2.376464365888854e-78): 1
* [misc]none:  (-3.222114505301457e-163): 1
* [misc]none:  (-7.76766480776823e+37): 2
* [misc]none:  (8.382633428275648e-297): 1
* [misc]none:  (-6.191205901832185e+168): 0
* [misc]none:  (2.0703305241322436e+71): 0
* [misc]none:  (6.099737398723264e-279): 1
* [misc]none:  (2.6679523035634032e-104): 1
* [misc]none:  (8.366391802268445e+167): 0
* [misc]none:  (2.870509274337958e-101): 1
* [misc]none:  (-2.318802051809187e-21): 1
* [misc]none:  (-2.362056093523898e-236): 1
* [misc]none:  (4.384610242475067e+141): 0
* [misc]none:  (1.4474621781713568e+65): 1
* [misc]none:  (-1.410046620426318e-213): 1
* [misc]none:  (-4.423020421030483e+291): 0
* [misc]none:  (-3.178469867925502e-246): 1
* [misc]none:  (-7.447731371021966e+71): 4
* [misc]none:  (5.154503491655989e+241): 0
* [misc]none:  (-1.6398756117817188e+244): 0
* [misc]none:  (-5.198066934157678e+220): 0
* [misc]none:  (5.0588074473585105e-110): 1
* [misc]none:  (3.742291531299835e+250): 0
* [misc]none:  (5.013161881068948e+307): 0
* [misc]none:  (66089027839097.664): 0
* [misc]none:  (1.4351275309127672e-234): 1
* [misc]none:  (4.416557773834991e-25): 1
* [misc]none:  (-7.605311329977112e+177): 0
* [misc]none:  (3.0442880854679596e-31): 1
* [misc]none:  (-1.3989503218776358e-06): 0
* [misc]none:  (4.664141571059094e-118): 1
* [misc]none:  Picked alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * * * [misc]pick:  Picked  #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]approximate:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (pow N 2) N))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) in (N) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) in N
* [misc]taylor:  Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N
* [misc]taylor:  Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N
* [misc]backup-simplify:  Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))
* [misc]backup-simplify:  Simplify (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) 1/4)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)))))>
* * * * [misc]progress:  [ 2 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)))))>
* * * * [misc]progress:  [ 3 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 4 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 5 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 6 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 7 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 8 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 9 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 10 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 11 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 12 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 13 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 14 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1)) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 15 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 16 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 17 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 18 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 19 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 20 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 21 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 22 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 23 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 24 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 25 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1/2) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 26 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 27 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 28 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 29 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [enter]simplify:  Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 30 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (51 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 31 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 32 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 33 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [enter]simplify:  Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 34 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [enter]simplify:  Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (47 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* [exit]simplify:  Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))
* * * * [misc]progress:  [ 35 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 36 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* * * * [misc]progress:  [ 37 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (+ 1 (+ 1/2 1/2))))>
* [enter]simplify:  Simplifying (+ 1 (+ 1/2 1/2))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (11 enodes)
* [exit]simplify:  Simplified to (+ 1 (+ 1/2 1/2))
* [exit]simplify:  Simplified to (+ 1 (+ 1/2 1/2))
* * * * [misc]progress:  [ 38 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1/2))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 39 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 40 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 41 / 72 ] simplifiying candidate #<alt-delta (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1))>
* * * * [misc]progress:  [ 42 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (+ (log (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))
* * * * [misc]progress:  [ 43 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 44 / 72 ] simplifiying candidate #<alt-delta (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (log (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (log (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 45 / 72 ] simplifiying candidate #<alt-delta (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (exp (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (exp (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 46 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (169 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* * * * [misc]progress:  [ 47 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (173 enodes)
* * [misc]simplify:  iters left: 1 (185 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* * * * [misc]progress:  [ 48 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (cbrt (atan2 1 (+ (+ N 1) (* N N)))) (cbrt (atan2 1 (+ (+ N 1) (* N N)))))
* [enter]simplify:  Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* [exit]simplify:  Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N))))
* * * * [misc]progress:  [ 49 / 72 ] simplifiying candidate #<alt-delta (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (170 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* [exit]simplify:  Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3)
* * * * [misc]progress:  [ 50 / 72 ] simplifiying candidate #<alt-delta (λ (N) (sqrt (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 51 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))))>
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [enter]simplify:  Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (62 enodes)
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* [exit]simplify:  Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1))))
* * * * [misc]progress:  [ 52 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* * * * [misc]progress:  [ 53 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* [exit]simplify:  Simplified to (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))
* * * * [misc]progress:  [ 54 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))
* * * * [misc]progress:  [ 55 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (cbrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 56 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 57 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 58 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (53 enodes)
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* [exit]simplify:  Simplified to (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))))
* * * * [misc]progress:  [ 59 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 60 / 72 ] simplifiying candidate #<alt-delta (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))>
* * * * [misc]progress:  [ 61 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 62 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 63 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 64 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 65 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 66 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 67 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 68 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 69 / 72 ] simplifiying candidate #<alt-event (λ (N) (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>
* [enter]simplify:  Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (+ N 1) (* N N)))
* * * * [misc]progress:  [ 70 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 71 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * * [misc]progress:  [ 72 / 72 ] simplifiying candidate #<alt-event (λ (N) (atan2 1 (+ 1 (+ (pow N 2) N))))>
* [enter]simplify:  Simplifying (atan2 1 (+ 1 (+ (pow N 2) N)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (atan2 1 (+ (* N N) (+ N 1)))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))> #<alt-delta (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ N 1)) N)))))> #<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))> #<alt-delta (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1)))))))> #<alt-delta (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) +nan.0)) , with alts (#<alt-delta (λ (N) (atan2 1 (+ 1 (* (+ N 1) N))))>)
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs